Details

Time bar (total: 1.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify219.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0105
1125
2145
3155
4205
5415
6665
71655
811235
950015

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
13.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ 2.0 (+ (exp x) (exp (- x))))

simplify73.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0167323
1568300
22220299
35001299

prune83.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.0b
(/ 2.0 (+ (exp x) (exp (- x))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
0.2b
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
66×*-un-lft-identity
50×times-frac
44×add-sqr-sqrt
38×add-cube-cbrt
36×sqrt-prod
14×distribute-lft-out
8×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
6×pow1 associate-/l*
4×expm1-log1p-u rem-sqrt-square flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
2×cbrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num
Counts
4 → 134
Calls
4 calls:
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
10.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
11.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

series292.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
42.0ms
(/ 2.0 (+ (exp x) (exp (- x))))
106.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))
107.0ms
(sqrt (/ 2.0 (+ (exp x) (exp (- x)))))

simplify189.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
02761396
18981310
245481290
350011290

prune383.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11013

end0.0ms

sample261.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid